Metamath Proof Explorer


Theorem 3pos

Description: The number 3 is positive. (Contributed by NM, 27-May-1999)

Ref Expression
Assertion 3pos 0<3

Proof

Step Hyp Ref Expression
1 2re 2
2 1re 1
3 2pos 0<2
4 0lt1 0<1
5 1 2 3 4 addgt0ii 0<2+1
6 df-3 3=2+1
7 5 6 breqtrri 0<3